Mathematics : Geometry

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications, it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces. Familiarity with the theory of semisimple Lie groups is assumed, as is familiarity with algebraic groups defined over the rational numbers in later parts of the book, although most of the pertinent material is recalled as presented. Otherwise, the book is a self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to diverse fields of mathematics. more...

Price: $79.95

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This book provides information on the applications of geometric methods to advanced grid technology. more...

Price: $159.00

Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in other areas of mathematics and in the applied fields. more...

Price: $135.00

This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them. more...

Price: $64.00

The fifth edition of a classic work on curves and surfaces modelling. Curves and surfaces modelling is vital to manufacturing where two-dimensional planning and development (e.g. drawings and blueprints) need to be translated into three-dimensional forms (e.g. cars and buildings). A proven resource for those working with or developing features for computer-aided geometric design applications, Curves and Surfaces for CAGD distinguishes itself by its unified treatment of all the basic methods in curve and surface design. This new edition offers the same informal, friendly style and comprehensive approach as its predecessors, together with up-to-date coverage of the field's latest developments. It is an essential purchase for computer graphics enthusiasts, CAD/CAM developers, geometric modeling researchers, and scientists who program their own modeling applications. more...

Price: $95.95